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Simplifying 3(2q + 5) = 5(q + 1) Reorder the terms: 3(5 + 2q) = 5(q + 1) (5 * 3 + 2q * 3) = 5(q + 1) (15 + 6q) = 5(q + 1) Reorder the terms: 15 + 6q = 5(1 + q) 15 + 6q = (1 * 5 + q * 5) 15 + 6q = (5 + 5q) Solving 15 + 6q = 5 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 15 + 6q + -5q = 5 + 5q + -5q Combine like terms: 6q + -5q = 1q 15 + 1q = 5 + 5q + -5q Combine like terms: 5q + -5q = 0 15 + 1q = 5 + 0 15 + 1q = 5 Add '-15' to each side of the equation. 15 + -15 + 1q = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 1q = 5 + -15 1q = 5 + -15 Combine like terms: 5 + -15 = -10 1q = -10 Divide each side by '1'. q = -10 Simplifying q = -10
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